Question

Solve x+ y = 5 and 2 x - y = 3

Answer 1

`x=(8)/(3)\: \: y=(7)/(3)`

Explanation:

Add the two equations:

$ x+y +(2x-y)=5+3$

$\implies 3x=8$

$\implies x=\frac{8}{3}$

Use this value in the first equation:

$\frac{8}{3}+y=5$

$\implies y=\frac{15-8}{3}=\frac{7}{3}$

Answer 2

x + y = 5 Equation 1

2x-y = 3 Equation 2

Add both Equations

y will be eliminated so it will be

3x = 8

x = 8/3

Substitute x into equation 1

8/3 + y = 5

y = 5 - 8/3

y= 7/3

x = 8/3 y = 7/3